We refute a recent claim in the literature of a " new " quantum deformation of GL(2). Until the year 2000 it was not clear how many distinct quantum group deformations are admissible for the group GL(2) and the supergroup GL(1|1). For the group GL(2) there were the well-known standard GL pq (2) [1] and nonstandard (Jordanian) GL gh (2) [2] two-parameter deformations. (The dual quantum algebras ...

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We consider the waiting time distribution of the Gl/Gl /1 queue where customers are served in random order; inter-arrival and service times may have finite or infinite variance. Our main result shows that the waiting time in heavy traffic can be written as a product of two random variables. Our proof is based on the intuitively appealing fact that in heavy traffic, the queue length stays consta...

In this paper we obtain a closed form expression of the zeta function Z(X Γ , u) of a finite quotient X Γ = Γ\P GL 3 (F)/P GL 3 (O F) of the Bruhat-Tits building of P GL 3 over a nonar-chimedean local field F. Analogous to a graph zeta function, Z(X Γ , u) is a rational function and it satisfies the Riemann hypothesis if and only if X Γ is a Ramanujan complex.

We introduce and demonstrate a new mapping for generating music from the 2D Cellular Automata “Game of Life” (GL). The core of this mapping is based on a polar co-ordinate system with origin at the GL grid centre. Such a polar approach is designed to better capture the radial symmetry inherent in the rule set for GL. The radial symmetry of the GL rule set is key to the visual experience of obse...

On the eigenvalue problem for arbitrary odd elements of the Lie superalgebra gl(1|n) and applications Abstract In a Wigner quantum mechanical model, with a solution in terms of the Lie superalgebra gl(1|n), one is faced with determining the eigenvalues and eigenvectors for an arbitrary self-adjoint odd element of gl(1|n) in any unitary irreducible representation W. We show that the eigenvalue p...

PURPOSE To evaluate the hypotensive effects of glycyrrhizin (GL) on a rabbit model of ocular hypertension (OH) induced by triamcinolone acetonide (TA). METHODS Forty New Zealand White Rabbits were divided as follows: control (intravitreal injection of sterile saline solution); GL (intravitreal injection of sterile saline solution, then fed with 25mg GL/day); TA (intravitreal TA injection); TA...

Glycyrrhizin (GL) has been used in Japan to treat patients with chronic viral hepatitis, as an anti-inflammatory drug to reduce serum alanine aminotransferase levels. GL is also known to exhibit various biological activities, including anti-viral effects, but the anti-hepatitis C virus (HCV) effect of GL remains to be clarified. In this study, we demonstrated that GL treatment of HCV-infected H...

The herpes simplex virus (HSV) gH-gL complex is essential for virus infectivity and is a major antigen for the host immune system. The association of gH with gL is required for correct folding, cell surface trafficking, and membrane presentation of the complex. Previously, a mammalian cell line was constructed which produces a secreted form of gHt-gL complex lacking the transmembrane and cytopl...